Finding the Third Proportional to 300,818,511,692 and 455,096,705,777

Step by Step Solution

1. Step 1: Write the proportion equation
   300,818,511,692 : 455,096,705,777 = 455,096,705,777 : x
2. Step 2: Convert to fraction form
   300,818,511,692/455,096,705,777 = 455,096,705,777/x
3. Step 3: Cross multiply
   300,818,511,692x = 455,096,705,777 × 455,096,705,777
4. Step 4: Simplify right side
   300,818,511,692x = 207,113,011,609,077,314,224,128
5. Step 5: Solve for x
   x = 207,113,011,609,077,314,224,128/300,818,511,692
6. Step 6: Final answer
   x = 688,498,225,870.94